Master Formulae for $N$-photon tree level amplitudes in plane wave backgrounds
High Energy Physics - Theory
2023-11-27 v1 High Energy Physics - Phenomenology
Abstract
The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present `Master Formulae' for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulae are valid in the strong-field regime of current theoretical and experimental interest. We check our results against literature expressions obtainable at low multiplicity via direct Feynman diagram calculations.
Cite
@article{arxiv.2311.14638,
title = {Master Formulae for $N$-photon tree level amplitudes in plane wave backgrounds},
author = {Patrick Copinger and James P. Edwards and Anton Ilderton and Karthik Rajeev},
journal= {arXiv preprint arXiv:2311.14638},
year = {2023}
}
Comments
21 pages, 1 pdf figure